Matrix Description of Wave Propagation and Polarization Quiz

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Microphotonics matrix formalisms describe a simple mathematical language for the description of complex optical systems in the ________ domain

frequency

The operation of optical systems is translated to ________-matrix multiplications

vector

ALL linear time-invariant passive optical systems can be described in the language of ________-matrix multiplication

vector

Vector-matrix multiplication is one of the most widely used tools for information processing in ________ and ________

<p>science, engineering</p> Signup and view all the answers

There is a growing trend to build optical systems on a chip that perform vector-matrix ________

<p>multiplication</p> Signup and view all the answers

The intensity of a wave is proportional to the ________.

<p>power density of the wave</p> Signup and view all the answers

______ are represented as: $ abla \times \mathbf{H} = \frac{\partial\mathbf{D}}{\partial t}$ and $ abla \times \mathbf{E} = -\frac{\partial\mathbf{B}}{\partial t}$

<p>Maxwell's equations in a medium with no free charges</p> Signup and view all the answers

The constitutive law for the ______ ($\mathbf{D}$) is given by: $\mathbf{D} = \varepsilon\mathbf{E} + \mathbf{P}$

<p>electric displacement field</p> Signup and view all the answers

The ______, representing power density, is given by: $\mathbf{\mathbf{S}} = \mathbf{E} \times \mathbf{H}$

<p>Poynting vector</p> Signup and view all the answers

The phase relationship between the electric field ($\mathbf{E}$) and magnetic field ($\mathbf{H}$) in ______ is described by: $\mathbf{k} \perp \mathbf{E}_M \perp \mathbf{H}_M$

<p>uniform linear media</p> Signup and view all the answers

In the context of optical computing, the complex amplitude of a monochromatic wave is represented as:

<p>Re{𝑎 𝒓 𝑒 &quot;# 𝒓 𝑒 &quot;}.%&amp;'</p> Signup and view all the answers

According to Maxwell's equations in a medium with no free charges, which of the following statements is true?

<p>𝛻 ⋅ 𝑫* = 0</p> Signup and view all the answers

What are the solutions for the electric and magnetic fields in uniform linear media with dielectric constant 𝜀 and magnetic permeability µ?

<p>𝑬 = 𝑬, 𝑒 -&quot;𝒌⋅𝒓 +𝑬- 𝑒 &quot;𝒌⋅𝒓, 𝑯 = 𝑯, 𝑒 -&quot;𝒌⋅𝒓 +𝑯- 𝑒 &quot;𝒌⋅𝒓</p> Signup and view all the answers

What is the phase relationship between E- and H-fields in orthogonal waveguide modes?

<p>Opposite to the phase relationship between E+ and H+</p> Signup and view all the answers

What can be achieved by requiring the e and h mode fields to be normalized to unit power in lossless waveguides?

<p>(1/√2) * (E x H) . Q dS = 1 [Watt]</p> Signup and view all the answers

What is the primary purpose of the microphotonics matrix formalisms chapter?

<p>To describe a simple mathematical language for the description of complex optical systems</p> Signup and view all the answers

What can be concluded about the relevance of vector-matrix multiplication?

<p>It is one of the most widely used tools for information processing in science and engineering</p> Signup and view all the answers

How are ALL linear time-invariant passive optical systems described in the microphotonics matrix formalisms?

<p>In the language of vector-matrix multiplication</p> Signup and view all the answers

What is the phase relationship between the electric field ($ extbf{E}$) and magnetic field ($ extbf{H}$) in a specific scenario?

<p>$ extbf{k} ot extbf{E}_M ot extbf{H}_M$</p> Signup and view all the answers

How are the constitutive law for the displacement field ($ extbf{D}$) and the representations for Maxwell's equations related?

<p>$ extbf{D} = oldsymbol{ar{ar{ar{ar{ar{ar{ar{ar{ar{ar{ar{ar{ar{ar{}}}}}}}}}}}}}}oldsymbol{ar{E}} + extbf{P}$ and $abla imes extbf{H} = \frac{oldsymbol{ar{ar{ar{}}}}oldsymbol{ar{D}}}{oldsymbol{ar{ar{T}}}}$</p> Signup and view all the answers

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